21 citations · 93 across the 8 of their papers we have counts for
9 papers
On background fields and a cutoff in sigma models
N. V. Kharuk
In this paper, using the example of a two-dimensional nonlinear sigma model with the Heisenberg group, we compare two variants of chiral field decomposition into a background part…
Four-loop renormalization with a cutoff in a sextic model
N. V. Kharuk
The quantum action for a three-dimensional real sextic model using the background field method is considered. Four-loop renormalization of this model is performed with a cutoff reg…
Three-loop renormalization of the quantum action for a five-dimensional scalar cubic model with the usage of the background field method and a cutoff regularization
A. V. Ivanov, N. V. Kharuk
The paper studies the quantum action for the five-dimensional real -theory in the case of a general formulation using the background field method. The three-loop renormalizati…
Ordered Exponential and Its Features in Yang-Mills Effective Action
A. V. Ivanov, N. V. Kharuk
In this paper we discuss some non-trivial relations for ordered exponentials on smooth Riemannian manifolds. As an example of application, we study a dependence of the four-dimensi…
Formula for two-loop divergent part of 4-D Yang-Mills effective action
A. V. Ivanov, N. V. Kharuk
In the paper, we study the two-loop contribution to the effective action of the four-dimensional quantum Yang-Mills theory. We derive a new formula for the contribution in terms of…
Quantum equation of motion and two-loop cutoff renormalization for model
A. V. Ivanov, N. V. Kharuk
We present two-loop renormalization of -model effective action by using the background field method and cutoff momentum regularization. In this paper, we also study a derivati…
Special Functions for Heat Kernel Expansion
A. V. Ivanov, N. V. Kharuk
In this paper, we study an asymptotic expansion of the heat kernel for a Laplace operator on a smooth Riemannian manifold without a boundary at enough small values of the proper ti…
Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action
A. V. Ivanov, N. V. Kharuk
In the paper we study the Yang-Mills effective action in the four-dimensional space-time by using background field formalism. We give an explicit way of cutoff regularization proce…
Heat kernel: proper time method, Fock-Schwinger gauge, path integral representation, and Wilson line
A. V. Ivanov, N. V. Kharuk
The proper time method plays an important role in modern mathematics and physics. It includes many approaches, each of which has its pros and cons. This work is devoted to the desc…